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13302354142 = 27114153127313
BaseRepresentation
bin11000110001110000…
…11101000011011110
31021100001201121101001
430120320131003132
5204220400313032
610035551340514
7650434100410
oct143070350336
937301647331
1013302354142
115706917610
1226b2b2173a
13133cc1518c
149029929b0
1552cc783e7
hex318e1d0de

13302354142 has 128 divisors (see below), whose sum is σ = 26252771328. Its totient is φ = 4906137600.

The previous prime is 13302354127. The next prime is 13302354203. The reversal of 13302354142 is 24145320331.

It is a happy number.

13302354142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13302354142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42499378 + ... + 42499690.

It is an arithmetic number, because the mean of its divisors is an integer number (205099776).

Almost surely, 213302354142 is an apocalyptic number.

13302354142 is a deficient number, since it is larger than the sum of its proper divisors (12950417186).

13302354142 is a wasteful number, since it uses less digits than its factorization.

13302354142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 13302354142 its reverse (24145320331), we get a palindrome (37447674473).

The spelling of 13302354142 in words is "thirteen billion, three hundred two million, three hundred fifty-four thousand, one hundred forty-two".

Divisors: 1 2 7 11 14 22 41 53 77 82 106 127 154 254 287 313 371 451 574 583 626 742 889 902 1166 1397 1778 2173 2191 2794 3157 3443 4081 4346 4382 5207 6314 6731 6886 8162 9779 10414 12833 13462 15211 16589 19558 23903 24101 25666 30422 33178 36449 39751 47117 47806 48202 57277 72898 74041 79502 89831 94234 114554 116123 141163 148082 167321 179662 182479 232246 275971 278257 282326 334642 364958 400939 437261 518287 551942 556514 680149 801878 874522 988141 1036574 1277353 1360298 1629791 1931797 1976282 2106803 2554706 3035681 3060827 3259582 3863594 4213606 4761043 6071362 6121654 7481639 9522086 11408537 14747621 14963278 17927701 21249767 22817074 23174833 29495242 35855402 42499534 46349666 52371473 86378923 104742946 125493907 162223831 172757846 250987814 324447662 604652461 950168153 1209304922 1900336306 6651177071 13302354142